What is the Greatest Common Factor of 65427 and 65439?

Greatest common factor (GCF) of 65427 and 65439 is 3.

GCF(65427,65439) = 3

We will now calculate the prime factors of 65427 and 65439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65427 and 65439.

How to find the GCF of 65427 and 65439?

We will first find the prime factorization of 65427 and 65439. After we will calculate the factors of 65427 and 65439 and find the biggest common factor number .

Step-1: Prime Factorization of 65427

Prime factors of 65427 are 3, 113, 193. Prime factorization of 65427 in exponential form is:

65427 = 3¹ × 113¹ × 193¹

Step-2: Prime Factorization of 65439

Prime factors of 65439 are 3, 11, 661. Prime factorization of 65439 in exponential form is:

65439 = 3² × 11¹ × 661¹

Step-3: Factors of 65427

List of positive integer factors of 65427 that divides 65427 without a remainder.

1, 3, 113, 193, 339, 579, 21809

Step-4: Factors of 65439

List of positive integer factors of 65439 that divides 65427 without a remainder.

1, 3, 9, 11, 33, 99, 661, 1983, 5949, 7271, 21813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65427 and 65439. The biggest common factor number is the GCF number.
So the greatest common factor 65427 and 65439 is 3.

Also check out the Least Common Multiple of 65427 and 65439